Associated form morphism

2018/07/05 by Fedorchuk, Maksym, Isaev, Alexander
#13A50 #13H10 #14L24 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.02082

Abstract

We study the geometry of the morphism between moduli spaces of hypersurfaces in \mathbb P^n-1 that sends a smooth hypersurface of degree d+1 to its associated hypersurface of degree n(d-1). As a result, we obtain a compactification of the moduli space of smooth hypersurfaces such that the induced rational map from the standard GIT compactification often contracts the discriminant divisor.

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